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    Cube Root of 220

    Cube Root Calculator
    Cube root of

    What is the cube root of 220?

    Answer

    ∛220 ≈
    6.0368

    Real cube root: the only number whose cube is 220.

    ≈ — rounded to 4 decimal places. 220 is not the cube of a rational number, so ∛220 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    220 = 2 × 2 × 5 × 11 = 2² × 5 × 11
    Take out of the root
    No prime appears three times, so ∛220 is already in simplest form.
    Between cubes
    6³ = 216 < 220 < 343 = 7³, so 6 < ∛220 < 7 and ∛220 ≈ 6.0368

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    https://calculat.io/en/number/cube-root/220Copy
    <a href="https://calculat.io/en/number/cube-root/220">Cube Root of 220 (∛220): Exact Value and Decimal</a>Copy
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    Cube Root of 220 (∛220): Exact Value and Decimal. ∛220 ≈ 6.0368. 220 has no cube factor but 1, so ∛220 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/220/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    213≈ 5.9721
    2166
    217≈ 6.0092
    220≈ 6.0368
    222≈ 6.055
    223≈ 6.0641
    225≈ 6.0822
    Recalculate with different values ↑

    FAQ

    What is the cube root of 220?

    ∛220 ≈ 6.0368

    Can ∛220 be simplified?

    No: no prime appears three times in 220, so its only cube factor is 1 and ∛220 is already in simplest form. Since 6³ = 216 < 220 < 343 = 7³, ∛220 lies between 6 and 7: ∛220 ≈ 6.0368.

    Is ∛220 a rational number?

    No: 220 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛220 is irrational; its decimal never ends and never repeats: ∛220 ≈ 6.0368.

    See Also